%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:23:14 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.43s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 27
% Syntax : Number of formulae : 234 ( 96 unt; 0 def)
% Number of atoms : 496 ( 495 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 290 ( 28 ~; 262 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f5,axiom,
a_469 = store(a_467,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f6,axiom,
a_471 = store(a_469,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
fof(f7,axiom,
a_473 = store(a_471,i3,e_472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
fof(f8,axiom,
a_475 = store(a_473,i2,e_474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
fof(f9,axiom,
a_477 = store(a_475,i2,e_476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
fof(f10,axiom,
a_479 = store(a_477,i0,e_478),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
fof(f11,axiom,
a_480 = store(a_467,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
fof(f12,axiom,
a_481 = store(a_480,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
fof(f13,axiom,
a_483 = store(a_481,i3,e_482),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
fof(f14,axiom,
a_485 = store(a_483,i2,e_484),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
fof(f15,axiom,
a_487 = store(a_485,i0,e_486),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
fof(f16,axiom,
a_489 = store(a_487,i2,e_488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
fof(f18,axiom,
e_468 = select(a_467,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
fof(f19,axiom,
e_470 = select(a_467,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
fof(f20,axiom,
e_472 = select(a_471,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
fof(f21,axiom,
e_474 = select(a_471,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
fof(f22,axiom,
e_476 = select(a_475,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
fof(f23,axiom,
e_478 = select(a_475,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
fof(f24,axiom,
e_482 = select(a_481,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
fof(f25,axiom,
e_484 = select(a_481,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
fof(f26,axiom,
e_486 = select(a_485,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
fof(f27,axiom,
e_488 = select(a_485,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
fof(f28,axiom,
e_491 = select(a_479,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
fof(f29,axiom,
e_492 = select(a_489,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
fof(f31,negated_conjecture,
e_491 != e_492,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( select(store(X0,X1,X2),X3) = select(X0,X3) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_84,plain,
store(a_467,i0,e_468) = a_469,
inference(cnf_transformation,[],[f5]) ).
tcf(c_85,plain,
store(a_469,i3,e_470) = a_471,
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,plain,
store(a_471,i3,e_472) = a_473,
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,plain,
store(a_473,i2,e_474) = a_475,
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
store(a_475,i2,e_476) = a_477,
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,plain,
store(a_477,i0,e_478) = a_479,
inference(cnf_transformation,[],[f10]) ).
tcf(c_90,plain,
store(a_467,i3,e_470) = a_480,
inference(cnf_transformation,[],[f11]) ).
tcf(c_91,plain,
store(a_480,i0,e_468) = a_481,
inference(cnf_transformation,[],[f12]) ).
tcf(c_92,plain,
store(a_481,i3,e_482) = a_483,
inference(cnf_transformation,[],[f13]) ).
tcf(c_93,plain,
store(a_483,i2,e_484) = a_485,
inference(cnf_transformation,[],[f14]) ).
tcf(c_94,plain,
store(a_485,i0,e_486) = a_487,
inference(cnf_transformation,[],[f15]) ).
tcf(c_95,plain,
store(a_487,i2,e_488) = a_489,
inference(cnf_transformation,[],[f16]) ).
tcf(c_97,plain,
select(a_467,i3) = e_468,
inference(cnf_transformation,[],[f18]) ).
tcf(c_98,plain,
select(a_467,i0) = e_470,
inference(cnf_transformation,[],[f19]) ).
tcf(c_99,plain,
select(a_471,i2) = e_472,
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,plain,
select(a_471,i3) = e_474,
inference(cnf_transformation,[],[f21]) ).
tcf(c_101,plain,
select(a_475,i0) = e_476,
inference(cnf_transformation,[],[f22]) ).
tcf(c_102,plain,
select(a_475,i2) = e_478,
inference(cnf_transformation,[],[f23]) ).
tcf(c_103,plain,
select(a_481,i2) = e_482,
inference(cnf_transformation,[],[f24]) ).
tcf(c_104,plain,
select(a_481,i3) = e_484,
inference(cnf_transformation,[],[f25]) ).
tcf(c_105,plain,
select(a_485,i2) = e_486,
inference(cnf_transformation,[],[f26]) ).
tcf(c_106,plain,
select(a_485,i0) = e_488,
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
select(a_479,i_490) = e_491,
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,plain,
select(a_489,i_490) = e_492,
inference(cnf_transformation,[],[f29]) ).
tcf(c_110,negated_conjecture,
e_491 != e_492,
inference(cnf_transformation,[],[f31]) ).
tcf(c_184,negated_conjecture,
e_491 != e_492,
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_288,plain,
select(a_469,i0) = e_468,
inference(superposition,[status(thm)],[c_84,c_80]) ).
tcf(c_289,plain,
select(a_471,i3) = e_470,
inference(superposition,[status(thm)],[c_85,c_80]) ).
tcf(c_290,plain,
select(a_473,i3) = e_472,
inference(superposition,[status(thm)],[c_86,c_80]) ).
tcf(c_291,plain,
select(a_475,i2) = e_474,
inference(superposition,[status(thm)],[c_87,c_80]) ).
tcf(c_292,plain,
select(a_477,i2) = e_476,
inference(superposition,[status(thm)],[c_88,c_80]) ).
tcf(c_293,plain,
select(a_479,i0) = e_478,
inference(superposition,[status(thm)],[c_89,c_80]) ).
tcf(c_294,plain,
select(a_480,i3) = e_470,
inference(superposition,[status(thm)],[c_90,c_80]) ).
tcf(c_295,plain,
select(a_481,i0) = e_468,
inference(superposition,[status(thm)],[c_91,c_80]) ).
tcf(c_296,plain,
e_470 = e_474,
inference(demodulation,[status(thm)],[c_100,c_289]) ).
tcf(c_297,plain,
store(a_473,i2,e_470) = a_475,
inference(demodulation,[status(thm)],[c_87,c_296]) ).
tcf(c_298,plain,
e_474 = e_478,
inference(demodulation,[status(thm)],[c_102,c_291]) ).
tcf(c_299,plain,
store(a_477,i0,e_474) = a_479,
inference(demodulation,[status(thm)],[c_89,c_298]) ).
tcf(c_300,plain,
select(a_483,i3) = e_482,
inference(superposition,[status(thm)],[c_92,c_80]) ).
tcf(c_301,plain,
select(a_485,i2) = e_484,
inference(superposition,[status(thm)],[c_93,c_80]) ).
tcf(c_302,plain,
e_484 = e_486,
inference(demodulation,[status(thm)],[c_105,c_301]) ).
tcf(c_303,plain,
store(a_485,i0,e_484) = a_487,
inference(light_normalisation,[status(thm)],[c_94,c_302]) ).
tcf(c_304,plain,
select(a_487,i0) = e_484,
inference(superposition,[status(thm)],[c_303,c_80]) ).
tcf(c_305,plain,
select(a_489,i2) = e_488,
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_306,plain,
e_470 = e_478,
inference(light_normalisation,[status(thm)],[c_298,c_296]) ).
tcf(c_307,plain,
select(a_475,i2) = e_470,
inference(light_normalisation,[status(thm)],[c_291,c_296]) ).
tcf(c_308,plain,
select(a_479,i0) = e_470,
inference(light_normalisation,[status(thm)],[c_293,c_306]) ).
tcf(c_314,plain,
! [X0: $i] :
( ( X0 = i0 )
| ( select(a_467,X0) = select(a_469,X0) ) ),
inference(superposition,[status(thm)],[c_84,c_81]) ).
tcf(c_315,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_469,X0) = select(a_471,X0) ) ),
inference(superposition,[status(thm)],[c_85,c_81]) ).
tcf(c_316,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_471,X0) = select(a_473,X0) ) ),
inference(superposition,[status(thm)],[c_86,c_81]) ).
tcf(c_317,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_475,X0) = select(a_477,X0) ) ),
inference(superposition,[status(thm)],[c_88,c_81]) ).
tcf(c_318,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_467,X0) = select(a_480,X0) ) ),
inference(superposition,[status(thm)],[c_90,c_81]) ).
tcf(c_319,plain,
! [X0: $i] :
( ( X0 = i0 )
| ( select(a_480,X0) = select(a_481,X0) ) ),
inference(superposition,[status(thm)],[c_91,c_81]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( select(a_481,X0) = select(a_483,X0) ) ),
inference(superposition,[status(thm)],[c_92,c_81]) ).
tcf(c_321,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_483,X0) = select(a_485,X0) ) ),
inference(superposition,[status(thm)],[c_93,c_81]) ).
tcf(c_322,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_487,X0) = select(a_489,X0) ) ),
inference(superposition,[status(thm)],[c_95,c_81]) ).
tcf(c_323,plain,
! [X0: $i] :
( ( X0 = i0 )
| ( select(a_485,X0) = select(a_487,X0) ) ),
inference(superposition,[status(thm)],[c_303,c_81]) ).
tcf(c_358,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( select(a_473,X0) = select(a_475,X0) ) ),
inference(superposition,[status(thm)],[c_297,c_81]) ).
tcf(c_362,plain,
store(a_477,i0,e_470) = a_479,
inference(light_normalisation,[status(thm)],[c_299,c_296]) ).
tcf(c_363,plain,
! [X0: $i] :
( ( X0 = i0 )
| ( select(a_477,X0) = select(a_479,X0) ) ),
inference(superposition,[status(thm)],[c_362,c_81]) ).
tcf(c_392,plain,
( ( i0 = i3 )
| ( select(a_471,i0) = e_468 ) ),
inference(superposition,[status(thm)],[c_315,c_288]) ).
tcf(c_393,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( X0 = i0 )
| ( select(a_467,X0) = select(a_471,X0) ) ),
inference(superposition,[status(thm)],[c_315,c_314]) ).
tcf(c_428,plain,
( ( i0 = i3 )
| ( select(a_481,i3) = e_470 ) ),
inference(superposition,[status(thm)],[c_319,c_294]) ).
tcf(c_429,plain,
! [X0: $i] :
( ( X0 = i3 )
| ( X0 = i0 )
| ( select(a_467,X0) = select(a_481,X0) ) ),
inference(superposition,[status(thm)],[c_319,c_318]) ).
tcf(c_430,plain,
( ( e_470 = e_484 )
| ( i0 = i3 ) ),
inference(light_normalisation,[status(thm)],[c_428,c_104]) ).
tcf(c_453,plain,
( ( i3 = i2 )
| ( select(a_485,i3) = e_482 ) ),
inference(superposition,[status(thm)],[c_321,c_300]) ).
tcf(c_454,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( X0 = i3 )
| ( select(a_481,X0) = select(a_485,X0) ) ),
inference(superposition,[status(thm)],[c_321,c_320]) ).
tcf(c_464,plain,
( ( i0 = i2 )
| ( select(a_489,i0) = e_484 ) ),
inference(superposition,[status(thm)],[c_304,c_322]) ).
tcf(c_480,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( X0 = i0 )
| ( select(a_485,X0) = select(a_489,X0) ) ),
inference(superposition,[status(thm)],[c_323,c_322]) ).
tcf(c_490,plain,
( ( i3 = i2 )
| ( select(a_475,i3) = e_472 ) ),
inference(superposition,[status(thm)],[c_358,c_290]) ).
tcf(c_491,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( X0 = i3 )
| ( select(a_471,X0) = select(a_475,X0) ) ),
inference(superposition,[status(thm)],[c_358,c_316]) ).
tcf(c_543,plain,
( ( i0 = i2 )
| ( select(a_479,i2) = e_476 ) ),
inference(superposition,[status(thm)],[c_363,c_292]) ).
tcf(c_544,plain,
! [X0: $i] :
( ( X0 = i2 )
| ( X0 = i0 )
| ( select(a_475,X0) = select(a_479,X0) ) ),
inference(superposition,[status(thm)],[c_363,c_317]) ).
tcf(c_563,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_467,i2) = e_472 ) ),
inference(superposition,[status(thm)],[c_393,c_99]) ).
tcf(c_588,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_467,i2) = e_482 ) ),
inference(superposition,[status(thm)],[c_429,c_103]) ).
tcf(c_600,plain,
( ( e_472 = e_482 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_563,c_588]) ).
tcf(c_615,plain,
( ( i0 = i2 )
| ( i0 = i3 )
| ( select(a_481,i0) = e_488 ) ),
inference(superposition,[status(thm)],[c_454,c_106]) ).
tcf(c_617,plain,
( ( e_468 = e_488 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(light_normalisation,[status(thm)],[c_615,c_295]) ).
tcf(c_653,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( store(a_481,i3,e_472) = a_483 ) ),
inference(superposition,[status(thm)],[c_600,c_92]) ).
tcf(c_675,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_485,i_490) = e_492 ) ),
inference(superposition,[status(thm)],[c_480,c_108]) ).
tcf(c_704,plain,
( ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 )
| ( select(a_481,i_490) = e_492 ) ),
inference(superposition,[status(thm)],[c_454,c_675]) ).
tcf(c_719,plain,
( ( i0 = i2 )
| ( i0 = i3 )
| ( select(a_471,i0) = e_476 ) ),
inference(superposition,[status(thm)],[c_491,c_101]) ).
tcf(c_751,plain,
( ( e_468 = e_476 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(superposition,[status(thm)],[c_719,c_392]) ).
tcf(c_783,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_475,i_490) = e_491 ) ),
inference(superposition,[status(thm)],[c_544,c_107]) ).
tcf(c_795,plain,
( ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 )
| ( select(a_471,i_490) = e_491 ) ),
inference(superposition,[status(thm)],[c_491,c_783]) ).
tcf(c_809,plain,
( ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 )
| ( select(a_467,i_490) = e_492 ) ),
inference(superposition,[status(thm)],[c_429,c_704]) ).
tcf(c_823,plain,
( ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 )
| ( select(a_467,i_490) = e_491 ) ),
inference(superposition,[status(thm)],[c_393,c_795]) ).
tcf(c_845,plain,
( ( e_491 = e_492 )
| ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 ) ),
inference(superposition,[status(thm)],[c_809,c_823]) ).
tcf(c_847,plain,
( ( i2 = i_490 )
| ( i3 = i_490 )
| ( i0 = i_490 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_845,c_184]) ).
tcf(c_860,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_475,i3) = e_491 ) ),
inference(superposition,[status(thm)],[c_847,c_783]) ).
tcf(c_861,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_485,i3) = e_492 ) ),
inference(superposition,[status(thm)],[c_847,c_675]) ).
tcf(c_862,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_489,i3) = e_492 ) ),
inference(superposition,[status(thm)],[c_847,c_108]) ).
tcf(c_863,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( select(a_479,i3) = e_491 ) ),
inference(superposition,[status(thm)],[c_847,c_107]) ).
tcf(c_915,plain,
( ( i2 = i_490 )
| ( e_472 = e_491 )
| ( i3 = i2 )
| ( i0 = i_490 ) ),
inference(superposition,[status(thm)],[c_860,c_490]) ).
tcf(c_929,plain,
( ( e_482 = e_492 )
| ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i_490 ) ),
inference(superposition,[status(thm)],[c_861,c_453]) ).
tcf(c_951,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i_490 )
| ( e_482 != e_491 ) ),
inference(superposition,[status(thm)],[c_929,c_184]) ).
tcf(c_970,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i_490 )
| ( e_472 != e_482 ) ),
inference(superposition,[status(thm)],[c_915,c_951]) ).
tcf(c_983,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_600,c_970]) ).
tcf(c_1008,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_489,i0) = e_492 ) ),
inference(superposition,[status(thm)],[c_983,c_108]) ).
tcf(c_1009,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_479,i0) = e_491 ) ),
inference(superposition,[status(thm)],[c_983,c_107]) ).
tcf(c_1010,plain,
( ( i2 = i_490 )
| ( e_470 = e_491 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1009,c_308]) ).
tcf(c_1034,plain,
( ( e_484 = e_492 )
| ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_1008,c_464]) ).
tcf(c_1067,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( e_484 != e_491 ) ),
inference(superposition,[status(thm)],[c_1034,c_184]) ).
tcf(c_1080,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( e_470 != e_484 ) ),
inference(superposition,[status(thm)],[c_1010,c_1067]) ).
tcf(c_1113,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(superposition,[status(thm)],[c_430,c_1080]) ).
tcf(c_1132,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 )
| ( select(a_489,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_1113,c_108]) ).
tcf(c_1133,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 )
| ( select(a_479,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_1113,c_107]) ).
tcf(c_1138,plain,
( ( e_488 = e_492 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(light_normalisation,[status(thm)],[c_1132,c_305]) ).
tcf(c_1155,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 )
| ( e_488 != e_491 ) ),
inference(superposition,[status(thm)],[c_1138,c_184]) ).
tcf(c_1181,plain,
( ( e_476 = e_491 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(superposition,[status(thm)],[c_1133,c_543]) ).
tcf(c_1196,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 )
| ( e_476 != e_488 ) ),
inference(superposition,[status(thm)],[c_1181,c_1155]) ).
tcf(c_1257,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 )
| ( e_468 != e_476 ) ),
inference(superposition,[status(thm)],[c_617,c_1196]) ).
tcf(c_1262,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( i0 = i3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1257,c_751,c_1257]) ).
tcf(c_1274,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( store(a_481,i0,e_472) = a_483 ) ),
inference(superposition,[status(thm)],[c_1262,c_653]) ).
tcf(c_1275,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_475,i0) = e_472 ) ),
inference(superposition,[status(thm)],[c_1262,c_490]) ).
tcf(c_1285,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_481,i0) = e_484 ) ),
inference(superposition,[status(thm)],[c_1262,c_104]) ).
tcf(c_1286,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_467,i0) = e_468 ) ),
inference(superposition,[status(thm)],[c_1262,c_97]) ).
tcf(c_1287,plain,
( ( i3 = i2 )
| ( e_468 = e_470 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1286,c_98]) ).
tcf(c_1291,plain,
( ( i3 = i2 )
| ( e_468 = e_484 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1285,c_295]) ).
tcf(c_1311,plain,
( ( e_472 = e_476 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1275,c_101]) ).
tcf(c_1457,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_483,i0) = e_472 ) ),
inference(superposition,[status(thm)],[c_1274,c_80]) ).
tcf(c_1513,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 )
| ( e_468 != e_470 ) ),
inference(superposition,[status(thm)],[c_1291,c_1080]) ).
tcf(c_1550,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_485,i0) = e_472 ) ),
inference(superposition,[status(thm)],[c_1457,c_321]) ).
tcf(c_1553,plain,
( ( e_472 = e_488 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1550,c_106]) ).
tcf(c_1709,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1513,c_1287,c_1513]) ).
tcf(c_1721,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_489,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_1709,c_108]) ).
tcf(c_1722,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( select(a_479,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_1709,c_107]) ).
tcf(c_1726,plain,
( ( e_488 = e_492 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1721,c_305]) ).
tcf(c_1751,plain,
( ( e_476 = e_491 )
| ( i3 = i2 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_1722,c_543]) ).
tcf(c_1765,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( e_488 != e_491 ) ),
inference(superposition,[status(thm)],[c_1726,c_184]) ).
tcf(c_1797,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( e_476 != e_488 ) ),
inference(superposition,[status(thm)],[c_1751,c_1765]) ).
tcf(c_1859,plain,
( ( i3 = i2 )
| ( i0 = i2 )
| ( e_472 != e_476 ) ),
inference(superposition,[status(thm)],[c_1553,c_1797]) ).
tcf(c_1868,plain,
( ( i3 = i2 )
| ( i0 = i2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1859,c_1311,c_1859]) ).
tcf(c_1874,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( select(a_485,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_1868,c_861]) ).
tcf(c_1875,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( select(a_475,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_1868,c_860]) ).
tcf(c_1876,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( select(a_479,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_1868,c_863]) ).
tcf(c_1877,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( select(a_489,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_1868,c_862]) ).
tcf(c_1881,plain,
( ( i0 = i2 )
| ( select(a_480,i2) = e_470 ) ),
inference(superposition,[status(thm)],[c_1868,c_294]) ).
tcf(c_1888,plain,
( ( i0 = i2 )
| ( select(a_481,i2) = e_484 ) ),
inference(superposition,[status(thm)],[c_1868,c_104]) ).
tcf(c_1892,plain,
( ( e_482 = e_484 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1888,c_103]) ).
tcf(c_1912,plain,
( ( e_488 = e_492 )
| ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1877,c_305]) ).
tcf(c_1921,plain,
( ( i2 = i_490 )
| ( e_470 = e_491 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1875,c_307]) ).
tcf(c_1926,plain,
( ( e_484 = e_492 )
| ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1874,c_301]) ).
tcf(c_1946,plain,
( ( i0 = i2 )
| ( store(a_483,i2,e_482) = a_485 ) ),
inference(superposition,[status(thm)],[c_1892,c_93]) ).
tcf(c_1976,plain,
( ( e_476 = e_491 )
| ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_1876,c_543]) ).
tcf(c_1995,plain,
( ( i0 = i2 )
| ( select(a_481,i2) = e_470 ) ),
inference(superposition,[status(thm)],[c_1881,c_319]) ).
tcf(c_1997,plain,
( ( e_470 = e_482 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_1995,c_103]) ).
tcf(c_2064,plain,
( ( i0 = i2 )
| ( store(a_483,i2,e_470) = a_485 ) ),
inference(superposition,[status(thm)],[c_1997,c_1946]) ).
tcf(c_2117,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( e_488 != e_491 ) ),
inference(superposition,[status(thm)],[c_1912,c_184]) ).
tcf(c_2221,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( e_484 != e_491 ) ),
inference(superposition,[status(thm)],[c_1926,c_184]) ).
tcf(c_2246,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( e_476 != e_488 ) ),
inference(superposition,[status(thm)],[c_1976,c_2117]) ).
tcf(c_2316,plain,
( ( i0 = i2 )
| ( select(a_485,i2) = e_470 ) ),
inference(superposition,[status(thm)],[c_2064,c_80]) ).
tcf(c_2317,plain,
( ( e_470 = e_484 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_2316,c_301]) ).
tcf(c_2355,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 )
| ( e_470 != e_484 ) ),
inference(superposition,[status(thm)],[c_1921,c_2221]) ).
tcf(c_2370,plain,
( ( i2 = i_490 )
| ( i0 = i_490 )
| ( i0 = i2 ) ),
inference(global_subsumption_just,[status(thm)],[c_2246,c_2317,c_2355]) ).
tcf(c_2382,plain,
( ( i2 = i_490 )
| ( i0 = i2 )
| ( select(a_489,i0) = e_492 ) ),
inference(superposition,[status(thm)],[c_2370,c_108]) ).
tcf(c_2383,plain,
( ( i2 = i_490 )
| ( i0 = i2 )
| ( select(a_479,i0) = e_491 ) ),
inference(superposition,[status(thm)],[c_2370,c_107]) ).
tcf(c_2384,plain,
( ( i2 = i_490 )
| ( e_470 = e_491 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_2383,c_308]) ).
tcf(c_2406,plain,
( ( e_484 = e_492 )
| ( i2 = i_490 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_2382,c_464]) ).
tcf(c_2427,plain,
( ( i2 = i_490 )
| ( i0 = i2 )
| ( e_484 != e_491 ) ),
inference(superposition,[status(thm)],[c_2406,c_184]) ).
tcf(c_2437,plain,
( ( i2 = i_490 )
| ( i0 = i2 )
| ( e_470 != e_484 ) ),
inference(superposition,[status(thm)],[c_2384,c_2427]) ).
tcf(c_2525,plain,
( ( i2 = i_490 )
| ( i0 = i2 ) ),
inference(global_subsumption_just,[status(thm)],[c_2437,c_2317,c_2437]) ).
tcf(c_2535,plain,
( ( i0 = i2 )
| ( select(a_489,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_2525,c_108]) ).
tcf(c_2536,plain,
( ( i0 = i2 )
| ( select(a_479,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_2525,c_107]) ).
tcf(c_2539,plain,
( ( e_488 = e_492 )
| ( i0 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_2535,c_305]) ).
tcf(c_2549,plain,
( ( e_476 = e_491 )
| ( i0 = i2 ) ),
inference(superposition,[status(thm)],[c_2536,c_543]) ).
tcf(c_2558,plain,
( ( i0 = i2 )
| ( e_488 != e_491 ) ),
inference(superposition,[status(thm)],[c_2539,c_184]) ).
tcf(c_2571,plain,
( ( i0 = i2 )
| ( e_476 != e_488 ) ),
inference(superposition,[status(thm)],[c_2549,c_2558]) ).
tcf(c_2580,plain,
( ( i0 = i2 )
| ( i0 = i3 )
| ( e_468 != e_476 ) ),
inference(superposition,[status(thm)],[c_617,c_2571]) ).
tcf(c_2584,plain,
( ( i0 = i2 )
| ( i0 = i3 ) ),
inference(global_subsumption_just,[status(thm)],[c_2580,c_751,c_2580]) ).
tcf(c_2593,plain,
i0 = i2,
inference(superposition,[status(thm)],[c_2584,c_1868]) ).
tcf(c_2610,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( e_472 != e_482 ) ),
inference(demodulation,[status(thm)],[c_970,c_2593]) ).
tcf(c_2618,plain,
( ( i2 = i_490 )
| ( i3 = i_490 ) ),
inference(demodulation,[status(thm)],[c_847,c_2593]) ).
tcf(c_2628,plain,
( ( e_470 = e_484 )
| ( i3 = i2 ) ),
inference(demodulation,[status(thm)],[c_430,c_2593]) ).
tcf(c_2631,plain,
( ( i3 = i2 )
| ( select(a_471,i2) = e_468 ) ),
inference(demodulation,[status(thm)],[c_392,c_2593]) ).
tcf(c_2635,plain,
select(a_481,i2) = e_468,
inference(demodulation,[status(thm)],[c_295,c_2593]) ).
tcf(c_2636,plain,
select(a_479,i2) = e_470,
inference(demodulation,[status(thm)],[c_308,c_2593]) ).
tcf(c_2641,plain,
select(a_485,i2) = e_488,
inference(demodulation,[status(thm)],[c_106,c_2593]) ).
tcf(c_2643,plain,
select(a_467,i2) = e_470,
inference(demodulation,[status(thm)],[c_98,c_2593]) ).
tcf(c_2647,plain,
e_484 = e_488,
inference(light_normalisation,[status(thm)],[c_2641,c_301]) ).
tcf(c_2648,plain,
select(a_489,i2) = e_484,
inference(demodulation,[status(thm)],[c_305,c_2647]) ).
tcf(c_2650,plain,
e_468 = e_482,
inference(demodulation,[status(thm)],[c_103,c_2635]) ).
tcf(c_2651,plain,
( ( i3 = i2 )
| ( select(a_485,i3) = e_468 ) ),
inference(demodulation,[status(thm)],[c_453,c_2650]) ).
tcf(c_2658,plain,
( ( i3 = i2 )
| ( e_468 = e_472 ) ),
inference(light_normalisation,[status(thm)],[c_2631,c_99]) ).
tcf(c_2766,plain,
( ( i2 = i_490 )
| ( i3 = i2 )
| ( e_468 != e_472 ) ),
inference(light_normalisation,[status(thm)],[c_2610,c_2650]) ).
tcf(c_2925,plain,
( ( i2 = i_490 )
| ( i3 = i2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2766,c_2658]) ).
tcf(c_2939,plain,
( ( i3 = i2 )
| ( select(a_489,i2) = e_492 ) ),
inference(superposition,[status(thm)],[c_2925,c_108]) ).
tcf(c_2940,plain,
( ( i3 = i2 )
| ( select(a_479,i2) = e_491 ) ),
inference(superposition,[status(thm)],[c_2925,c_107]) ).
tcf(c_2941,plain,
( ( e_470 = e_491 )
| ( i3 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_2940,c_2636]) ).
tcf(c_2944,plain,
( ( e_484 = e_492 )
| ( i3 = i2 ) ),
inference(light_normalisation,[status(thm)],[c_2939,c_2648]) ).
tcf(c_2990,plain,
( ( i3 = i2 )
| ( e_484 != e_491 ) ),
inference(superposition,[status(thm)],[c_2944,c_184]) ).
tcf(c_2997,plain,
( ( i3 = i2 )
| ( e_470 != e_484 ) ),
inference(superposition,[status(thm)],[c_2941,c_2990]) ).
tcf(c_3000,plain,
i3 = i2,
inference(global_subsumption_just,[status(thm)],[c_2651,c_2628,c_2997]) ).
tcf(c_3015,plain,
i2 = i_490,
inference(demodulation,[status(thm)],[c_2618,c_3000]) ).
tcf(c_3029,plain,
select(a_481,i2) = e_484,
inference(demodulation,[status(thm)],[c_104,c_3000]) ).
tcf(c_3030,plain,
select(a_467,i2) = e_468,
inference(demodulation,[status(thm)],[c_97,c_3000]) ).
tcf(c_3031,plain,
e_468 = e_484,
inference(light_normalisation,[status(thm)],[c_3029,c_2635]) ).
tcf(c_3049,plain,
select(a_489,i2) = e_492,
inference(demodulation,[status(thm)],[c_108,c_3015]) ).
tcf(c_3050,plain,
select(a_479,i2) = e_491,
inference(demodulation,[status(thm)],[c_107,c_3015]) ).
tcf(c_3051,plain,
e_470 = e_491,
inference(light_normalisation,[status(thm)],[c_3050,c_2636]) ).
tcf(c_3052,plain,
e_470 != e_492,
inference(demodulation,[status(thm)],[c_184,c_3051]) ).
tcf(c_3053,plain,
e_484 = e_492,
inference(light_normalisation,[status(thm)],[c_3049,c_2648]) ).
tcf(c_3055,plain,
e_468 = e_470,
inference(demodulation,[status(thm)],[c_2643,c_3030]) ).
tcf(c_3079,plain,
e_468 = e_492,
inference(light_normalisation,[status(thm)],[c_3053,c_3031]) ).
tcf(c_3080,plain,
$false,
inference(ground_joinability,[status(thm)],[c_3052,c_3055,c_3079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 20:19:38 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.52
% 0.25/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.52
% 0.25/0.52 % Detected problem language: tptp
% 0.25/0.54 % Proving...
% 3.53/1.43 % SZS status Started for theBenchmark.p
% 3.53/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.43
% 3.53/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.53/1.43
% 3.53/1.43 % ------ iProver source info
% 3.53/1.43
% 3.53/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 3.53/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.53/1.43 % git: non_committed_changes: false
% 3.53/1.43
% 3.53/1.43 % ------ Parsing...% successful
% 3.53/1.43
% 3.53/1.43
% 3.53/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.53/1.43
% 3.53/1.43 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.53/1.43
% 3.53/1.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.53/1.43
% 3.53/1.43 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.53/1.43 % ------ Proving...
% 3.53/1.43 % ------ Problem Properties
% 3.53/1.43
% 3.53/1.43 %
% 3.53/1.43 % clauses 31
% 3.53/1.43 % conjectures 1
% 3.53/1.43 % EPR 1
% 3.53/1.43 % Horn 30
% 3.53/1.43 % unary 30
% 3.53/1.43 % binary 1
% 3.53/1.43 % lits 32
% 3.53/1.43 % lits eq 32
% 3.53/1.43 % fd_pure 0
% 3.53/1.43 % fd_pseudo 0
% 3.53/1.43 % fd_cond 0
% 3.53/1.43 % fd_pseudo_cond 1
% 3.53/1.43 % AC symbols 0
% 3.53/1.43
% 3.53/1.43 % ------ Schedule dynamic 5 is on
% 3.53/1.43
% 3.53/1.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.53/1.43
% 3.53/1.43
% 3.53/1.43 % ------
% 3.53/1.43 % Current options:
% 3.53/1.43 % ------
% 3.53/1.43
% 3.53/1.43
% 3.53/1.43 %
% 3.53/1.43
% 3.53/1.43 % ------ Proving...
% 3.53/1.43 %
% 3.53/1.43
% 3.53/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.43
% 3.53/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.43
% 3.53/1.43
%------------------------------------------------------------------------------